What Is the Greatest Common Factor of 72 and 90?

The greatest common factor of 72 and 90 is 6.

There are numerous factors of 90. Some of the more notable ones include 1, 2, 3, 5, 9, 10, 15, 18, 30, and 45. Each of these numbers can evenly divide into 90 with no remainder. When attempting to find all the possible factors of a number, it is important to consider both numbers that are larger and smaller than the target number. For example, in addition to the numbers already mentioned, 4, 6, and 8 are also factors of 90 because they can each be divided into 90 with no remainder.

To truly find all the factors of 90, one would need to consider all numbers less than or equal to 90. However, some numbers are more likely to be factors than others. For example, all numbers that are multiples of 10 are also likely to be factors of 90 (40, 50, 60, 70, 80, and 90). To find the factors of a number, it is often helpful to start with the smallest possible number and work your way up.

In conclusion, the factors of 90 are 1, 2, 3, 4, 5, 6, 8, 9, 10, 15, 18, 30, 40, 45, 50, 60, 70, 80, and 90.

What is the greatest common factor of 72 and 84?

The greatest common factor of 72 and 84 is 12. This is because both numbers are divisible by 12, and no other number is as large as 12 that both 72 and 84 are divisible by. To find the greatest common factor of two numbers, you can list out the factors of each number and then find the largest number that is common to both lists.

The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72. The factors of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, and 84. As you can see, the greatest common factor of 72 and 84 is 12.

There are a few ways to find the greatest common factor of 72 and 96. One way is to list the factors of each number and then find the largest number that appears on both lists. The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, and 72. The factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, and 96. The greatest common factor of 72 and 96 is 24.

Another way to find the greatest common factor is to use the prime factorization method. To find the prime factorization of a number, you need to list out the factors of the number and then break those factors down into their prime factors. The prime factorization of 72 is 2 x 2 x 2 x 3 x 3. The prime factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3. The greatest common factor of 72 and 96 is 2 x 2 x 2 x 3, or 24.

You can also use the Euclidean algorithm to find the greatest common factor of 72 and 96. The Euclidean algorithm is a sequence of steps that can be used to find the greatest common factor of two numbers. The first step is to divide the larger number by the smaller number. In this case, you would divide 96 by 72. 96 divided by 72 is 1 with a remainder of 24. The next step is to take the divisor (72) and divide it by the remainder (24). 72 divided by 24 is 3 with a remainder of 0. The greatest common factor of 72 and 96 is 3.

no matter what method you use, the greatest common factor of 72 and 96 is 24.

There are a few different ways to find the greatest common factor of two numbers. One way is to list out the factors of each number and then find the largest number that appears on both lists. Another way is to use the prime factorization of each number to find the greatest common factor.

The greatest common factor of 90 and 84 is 6. To find this using the first method, we would list out the factors of each number:

90: 1, 2, 3, 5, 9, 10, 15, 18, 30, 45, 90

84: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

The greatest common factor is the largest number that appears on both lists, which in this case is 6.

To find the greatest common factor using the second method, we would find the prime factorization of each number:

90 = 2 x 3 x 3 x 5

84 = 2 x 2 x 3 x 7

The greatest common factor is the product of the prime factors that are shared by both numbers, which in this case is 2 x 3 = 6.

There are a few definitions of greatest common factor (GCF), but the most common one is the largest positive integer that divides evenly into two or more numbers. Based on this definition, the GCF of 90 and 96 would be 6.

To find the GCF of two numbers, one common method is to list the factors of each number and then find the largest number that is common to both lists. The factors of 90 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, and 90. The factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, and 96. The GCF of 90 and 96 is 6.

Another common method to find the GCF of two numbers is to use the prime factorization method. This involves finding the prime factorization of each number and then multiplying the largest exponent of each prime number together. For example, 90 can be written as 2 x 3² x 5. 96 can be written as 2⁵ x 3. The GCF of 90 and 96 would be 2 x 3, or 6.

There are a few other methods to find the GCF of two numbers, but these are two of the most common. In conclusion, the greatest common factor of 90 and 96 is 6.

There are a few different ways to find the greatest common factor of three numbers. One way is to list the factors of each number and then find the largest number that is common to all three lists. The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72. The factors of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84. The factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96. The greatest common factor of 72, 84, and 96 is 12.

Another way to find the greatest common factor is to use the greatest common factor of two numbers algorithm. To use this algorithm, you first find the greatest common factor of the first two numbers, and then find the greatest common factor of that number and the third number. In this case, the greatest common factor of 72 and 84 is 12, and the greatest common factor of 12 and 96 is also 12.

The greatest common factor of a set of numbers is also sometimes called the greatest common divisor.

There are a few ways to find the greatest common factor of three numbers. One way is to list the factors of each number and then find the greatest number that is common to all three lists. The factors of 90 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90. The factors of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84. The factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96. The greatest common factor of 90, 84, and 96 is 12.

Another way to find the greatest common factor is to use the Greatest Common Factor algorithm. The first step is to find the smaller of the two numbers, in this case 84. Then, divide the smaller number into the larger number and take the remainder. In this case, 90 divided by 84 equals 1 with a remainder of 6. Next, take the smaller number, 96, and divide it by the remainder. 96 divided by 6 equals 16. Finally, take the previous remainder, 6, and divide it by the new remainder, which is 0. The greatest common factor of 90, 84, and 96 is 6.

There are a few ways to find the greatest common factor of numbers. One way is to list the factors of each number and then find the common factors between them. Another way is to use the greatest common factor formula.

The greatest common factor of 72, 90, 84, and 96 can be found by listing the factors of each number and then finding the common factors between them. The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72. The factors of 90 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90. The factors of 84 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84. The factors of 96 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96.

The common factors between these numbers are 1, 2, 3, 4, 6, 8, 9, 12, 15, 18, 24, 30, 36, 42, 45, 48, 60, 72, 84, 90, 96. The greatest common factor is 12.

The greatest common factor of 72, 90, 84, and 96 can also be found by using the greatest common factor formula. The greatest common factor formula is gcf(a,b) = a*b/gcd(a,b), where a and b are the two numbers being considered and gcd(a,b) is the greatest common divisor of a and b.

Applying this formula to the numbers 72, 90, 84, and 96 gives us the following:

gcf(72,90) = 72*90/gcd(72,90) = 6480/12 =540

gcf(84,96) = 84*96/gcd(84,96) = 8128/24 =340

gcf(72,84) = 72*84/gcd(72,84) = 6048/12 =504

gcf(72,96) = 72*96/gcd(72,96) = 6912/24 =288

gcf(90,96) = 90*96/gcd(90,96) = 8640/30 =288